Zhamalov Azhmukan, Kunelbayev Murat, Baikadamova
Laura, Kystau Napira
Kazakh government
women pedagogikal university
Kazakh automobile-road institute
Almaty, Kazakhstan murat7508@rambler.ru
The mathematical basis of at
the solar heat supply systems
The solar heat supply systems a work in
the condition a change solar energy. For a provide constant a get energy stream
Helios mounting understudy reserve spring. The economical effectives that system the depends
in many interaction factors, which demand the mathematical methods, the basic criteria
which:
-
economical, the supposition opportunity to give economy material resource
from to use a new system by compare with base;
-
Balance, stipulate necessity support demand output energy stream.
The economical criteria’s definition as years the economical effects or
expenditure between base and news systems. The balance criteria’s for solar
heat supply system-manufacture energy, for unit berated a function technological
process the independence from inside indignation. This is criteria’s express
the next dependence:
(1)
where E-economical
effect SHSS; 
and 
- sum years expenses and base system, 
and 
- energy requirements
to be covered solar mouthy and reserve spring (RI), 
; 
-profit from ecological effect use solar mounting.
The base particularly investigation
system this: 
- a factor depends from intensify stream solar radiation;
technological dependence energy consumer from season year; dynamical stream
from reserve spring.
Take info account point out
particularly system, use next admission: a present dependence energy
expenditure year and economical effect in sum meowing in month. The admission,
what in month interval characteristic systems of the cassations. In this
supposition must be reading:
(2)
In (2) reading, what system a work all
the year round (m=1, 2, 3, …, 12), in the winter time only spring, in summer
time, with j-month from first, integration – from solar system and reserve
spring. For condition of the Republic Kazakhstan this period April – November.
This regime a work systems in the whole
and solar spring in the year compose whiz 7 month in 5 month simple. However
withers a use solar system in the practice a use a wile.
The points, what the end heating season
boiler-room a stay before next season.
Presentation (2) over a lot of time
index, what to take technical-economics, technological and energy calculation
, (3)
where 
-quantity room in the home.
The dependence (3) must be use in the
look:
(4)
.
Presentation heats produce solar system
never square Helios collectors, the coefficient useful action and intensify
solar radiation, sum heat produce reserve spring in the look 
, (5)
where 
-coefficient useful action, 
-intensify solar radiation, 
-square Helios collectors, 
-energy expenditure.
From (4) next, what to give maximal
economic effect a tie in the one a turn in the minimum expenses in Helios system
- 
. There fore next analyze a close of the look whole function
(6)
where 
- sum coefficients realize in amortization, repair and salary, 
-capital salary in one square meter Helios collector, 
-capital salary in reserve spring, 
-expenditure electricity 
-a value 
energy in burn fuel.
In the whole function (6) one and there a member the present years exploration
expenses. Two member whole function –
salary in electricity. The last whole
function – castle salary in fuel. In the hand book to give in one weight (coal,
oil). With calculation there to given
(7)
where 
-a cost the fuel, 
-useful coefficient action, 
-heating ability a
fuel, 
- coefficient fraudster a unit measuring.
The next economical is effect with
improve ecology and social condition must be the coefficient 
in hearty ability a
fuel
. (8)
Here image (7), (8)
economics-mathematics model solar heat supply systems to take a look:
. (9)
In the work
economical-mathematics model solar heat supply systems manufacture energy, for
uninterrupted function technology process.
Literature
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Ðåñïóáëèêè Êàçàõñòàí.Àëìàòû
2011ã.ñ.45-48.
2. Æàìàëîâ À.Æ.,Óìáåòîâ Å.,Êóíåëáàåâ Ì.Ì. Ñèñòåìû
ñîëíå÷íîãî òåïëîñíàáæåíèÿ. Àëìàòû 2011 ã.ñ.56-59